Pith Number

pith:I2ERBP6Q

pith:2015:I2ERBP6QQGN5DXAVQ2LCNNPFAL

not attested not anchored not stored refs pending

Counterexamples to conjectures on graph distance measures based on topological indexes

Aleksandar Ilic, Milovan Ilic

arxiv:1512.08149 v2 · 2015-12-26 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2ERBP6QQGN5DXAVQ2LCNNPFAL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:09:41.945668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

468910bfd0819bd1dc15869626b5e502f6d098c5a4782c235f865f63ab9ab288

Aliases

arxiv: 1512.08149 · arxiv_version: 1512.08149v2 · doi: 10.48550/arxiv.1512.08149 · pith_short_12: I2ERBP6QQGN5 · pith_short_16: I2ERBP6QQGN5DXAV · pith_short_8: I2ERBP6Q

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/I2ERBP6QQGN5DXAVQ2LCNNPFAL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 468910bfd0819bd1dc15869626b5e502f6d098c5a4782c235f865f63ab9ab288

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1376b5ea60f82a0e41b12846c0d2a20c28f1792737461eb0879f4e7a1a314257",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-26T22:02:34Z",
    "title_canon_sha256": "6c29a739d2be0a8bc2fa88759108e98474470dd1cc16b174b67ce7dacd541bb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08149",
    "kind": "arxiv",
    "version": 2
  }
}